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Finding the Third Proportional to 5,919.88 and 8,839.31

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Solution

The third proportional to 5,919.88 and 8,839.31 is: 13,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.88 : 8,839.31 = 8,839.31 : x
  2. Step 2: Convert to fraction form
    5,919.88/8,839.31 = 8,839.31/x
  3. Step 3: Cross multiply
    5,919.88x = 8,839.31 × 8,839.31
  4. Step 4: Simplify right side
    5,919.88x = 78,133,445.47
  5. Step 5: Solve for x
    x = 78,133,445.47/5,919.88
  6. Step 6: Final answer
    x = 13,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.